Beginner Calculus

Name: Beginner Calculus
Rating: 3.9 (21 reviews)

Master the basics of Calculus from Precalculus Algebra through to Differentiation and Integration.

Created byHow To Know Everything

Last updated 2/2016

English

What you'll learn

Pre-Calculus Algebra Manipulation and Solving Equations
Interpret and Understand Function Graphs
Differentiate To Find Gradient Functions
Evaluate both Indefinite and Definite Integrals

Course content

6 sections • 25 lectures • 1h 18m total length

Introduction2:21
Introduction video providing background for the course and information on the topics involved.
Introduction PDF7:00
PDF Version of the Introduction Video

Algebraic Techniques10:34
Techniques for solving algebraic equations such as linear, quadratic, log, exponential and trigonometric equations.
Algebraic Equation Examples5:45
Example solutions to linear, quadratic, logarithmic, exponential and trigonometric equations.
Algebra Practice Problems1:00
Questions for you to practice algebraic manipulation and solving equations.
Algebra Worked Solutions5:00
Worked Solutions for the Algebra Practice Problems
Algebra Skills Quiz

Graphing Basics8:36
Teaches you the basics of graphing functions of x and y.
Graphing Examples6:44
This video explores how to take simple functions and alter and translate them into more complicated ones graphically.
Graphing Practice Problems1:00
Practice problems to help you develop graphing skills
Graphing Worked Solutions17:00
Worked solutions to the practice problems.
Limits and Function Notation3:54
In this video we look at what limits are and some special ways to denote functions.

Differentiation From First Principles2:21
Shows how to differentiate a general function from first principles.
First Principles Examples2:34
Examples to help you differentiate functions from first principles
Differentiation Rules6:27
This video explores how to use differentiation rules to make calculus much faster and easier
Differentiation Rules Examples7:08
Examples to help you understand how to apply differentiation rules to example functions.
Differentiation Rules Practice Problems1:00
Practice Differentiation questions
Differentiation Rules Worked Solutions6:00
Worked solutions for the practice problems on differentiation rules

Integration Basics6:53
This video covers the basics of integration and demonstrates some integration rules which will be used in future videos.
Advanced Integration Techniques5:45
This video addresses integrating exponential and trigonometric functions which include linear functions of x
Integration Practice Problems1:00
Practice your integrations skills
Integration Worked Solutions2:00
Worked solutions for the integration practice problems

Definite Integrals4:40
This video explores the fundamental theorem of calculus and shows how to calculate the area under curves between limits.
Definite Integral Examples4:22
In this video, I work through some examples of definite integrals ranging from linear to trigonometric functions.
Definite Integral Practice Problems1:00
A set of practice problems on evaluating your definite integral skills.
Definite Integral Worked Solutions4:00
Worked solutions to the practice problems for definite integration.
Definite Integration Quiz

Requirements

Basic Algebra Skills
A scientific calculator is recommended

Description

Ever wondered what Calculus really is? In this course, you will learn to master the basics of Calculus. This introductory calculus course will introduce you to the terminology, methods and tricks to become a successful Calculus student.

Master Calculus and Pre-Calculus Algebra

The course is structured with:

Pre-calculus algebra such as solving linear, polynomial and trigonometric expressions.
Differentiation of most simple functions using both first principles and derivative rules.
Integration of polynomial, trigonometric and exponential functions using integration rules.

Course Includes Fully Worked Solutions and Video Examples

I have designed this course to be perfect for beginners and will take you through everything that you need. This easy to follow course includes 2 hours of video to teach you the concepts, narrated examples to demonstrate Calculus techniques, practice problems with fully worked solutions and quizzes which assess student's abilities to understand and use the concepts on their own.

By the end of this course, you will be able to understand and interpret algebraic, differentiation and integration processes. This will provide you with a solid foundation in Calculus for you to be able to progress your studies with further Calculus courses.

Who this course is for:

High School Students
First year University Maths Students
People wishing to refresh their Maths from High School

Beginner Calculus

What you'll learn

Explore related topics

Course content

Introduction2 lectures • 9min

Algebra4 lectures • 22min

Graphing5 lectures • 37min

Differentiation6 lectures • 26min

Integration4 lectures • 16min

Definite Integrals4 lectures • 14min

Requirements

Description

Who this course is for: